Regular Charged Solutions in Teleparallel Theory of Gravity

Abstract

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond to charged spacetimes. The third solution contains an arbitrary function from which we can generate the other two solutions. The metric associated with these spacetimes is the same, i.e., a regular charged static spherically symmetric black hole. In calculating the energy content of the third solution using the gravitational energy-momentum given by Møller, within the framework of the teleparallel geometry, we find that the resulting form depends on the arbitrary function. Using the regularized expression of the gravitational energy-momentum we get the value of energy.